Question

what is the surface area of this sphere? use π ≈ 3.14 and round your answer to the nearest hundredth. image of a sphere with a dashed line labeled 3 mm from center to surface square millimeters submit

Explanation:

Step1: Recall the formula for the surface area of a sphere.

The formula for the surface area \( S \) of a sphere with radius \( r \) is \( S = 4\pi r^2 \).

Step2: Identify the radius of the sphere.

From the diagram, the radius \( r = 3 \) mm.

Step3: Substitute the values into the formula.

Substitute \( r = 3 \) and \( \pi \approx 3.14 \) into the formula:
\( S = 4\times3.14\times3^2 \)
First, calculate \( 3^2 = 9 \).
Then, \( 4\times3.14 = 12.56 \).
Next, \( 12.56\times9 = 113.04 \).

Answer:

113.04